Respuesta :

just add them all:(FYI, I first converted all the mixed fraction to improper)
11/3+19/3= 30/3+9/2
Now take out the LCM,
60/6+27/6= 87/6
Hence, the total number of cups that peter makes is 87/6

Answer:

[tex]12\frac{1}{6}[/tex] cups of punch

Step-by-step explanation:

Peter is making a punch. He mixes :

Orange juice  =  [tex]4\frac{1}{2}[/tex] cups

Ginger ale   =    [tex]1\frac{1}{3}[/tex]

Strawberry lemonade =  [tex]6\frac{1}{3}[/tex]

Now we will add all the mixes

[tex]4\frac{1}{2}[/tex] +  [tex]1\frac{1}{3}[/tex] +  [tex]6\frac{1}{3}[/tex]

Now first we convert all the mixed fractions to improper.

[tex]\frac{9}{2}+ \frac{4}{3}+ \frac{19}{3}[/tex]

Now take LCM of 2,3,3 = 6

= [tex]\frac{27+8+38}{6}[/tex]

= [tex]\frac{73}{6}[/tex] =  [tex]12\frac{1}{6}[/tex]

The total number of cups of puch that peter makes is  [tex]12\frac{1}{6}[/tex]